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Calculate spectral content from a series of zero crossing time stamps?

J
jimlux
Thu, Feb 10, 2011 5:13 AM

On 2/9/11 2:08 PM, Tijd Dingen wrote:

The autocorrelation processing is O(N^2) while the DFT can be done in
O(N log N) when using FFT. As usual these can be implemented in reversed
order such that first the FFT is done to the phase jitter and auto-correlation
can be found using O(N) post-processing.

If it can be done in N log N that would be nice. :)

autocorrelation:
FFT of input sequence, multiply each bin by itself, inverse FFT

So N(2logN+1) operations

On 2/9/11 2:08 PM, Tijd Dingen wrote: > > >> The autocorrelation processing is O(N^2) while the DFT can be done in >> O(N log N) when using FFT. As usual these can be implemented in reversed >> order such that first the FFT is done to the phase jitter and auto-correlation >> can be found using O(N) post-processing. > > If it can be done in N log N that would be nice. :) autocorrelation: FFT of input sequence, multiply each bin by itself, inverse FFT So N(2logN+1) operations
E
ehydra
Thu, Feb 10, 2011 7:44 AM

LeCroy has a paper with a short explanation that I found useful:

http://www.lecroy.com/files/WhitePapers/WP_TechBrief_Var_of_Time.pdf

This look to me very similar to this:
http://pstca.com/sampler/index.htm

  • Henry

--
ehydra.dyndns.info

> LeCroy has a paper with a short explanation that I found useful: > > http://www.lecroy.com/files/WhitePapers/WP_TechBrief_Var_of_Time.pdf This look to me very similar to this: http://pstca.com/sampler/index.htm - Henry -- ehydra.dyndns.info
MD
Magnus Danielson
Thu, Feb 10, 2011 6:53 PM

On 10/02/11 06:13, jimlux wrote:

On 2/9/11 2:08 PM, Tijd Dingen wrote:

The autocorrelation processing is O(N^2) while the DFT can be done in
O(N log N) when using FFT. As usual these can be implemented in reversed
order such that first the FFT is done to the phase jitter and
auto-correlation
can be found using O(N) post-processing.

If it can be done in N log N that would be nice. :)

autocorrelation:
FFT of input sequence, multiply each bin by itself, inverse FFT

So N(2logN+1) operations

Eh, no. In this case we wanted the frequency form, so no inverse FFT.
You forgot to keep an eye on the big picture.

Cheers,
Magnus

On 10/02/11 06:13, jimlux wrote: > On 2/9/11 2:08 PM, Tijd Dingen wrote: >> >> >>> The autocorrelation processing is O(N^2) while the DFT can be done in >>> O(N log N) when using FFT. As usual these can be implemented in reversed >>> order such that first the FFT is done to the phase jitter and >>> auto-correlation >>> can be found using O(N) post-processing. >> >> If it can be done in N log N that would be nice. :) > > autocorrelation: > FFT of input sequence, multiply each bin by itself, inverse FFT > > So N(2logN+1) operations Eh, no. In this case we wanted the frequency form, so no inverse FFT. You forgot to keep an eye on the big picture. Cheers, Magnus
TD
Tijd Dingen
Fri, Feb 11, 2011 7:26 PM

----- Original Message ----
From: Magnus Danielson magnus@rubidium.dyndns.org
To: time-nuts@febo.com
Sent: Wed, February 9, 2011 10:08:40 PM
Subject: Re: [time-nuts] Calculate spectral content from a series of zero
crossing time stamps?

Wavecrest just fell of the Internet for some time and then eventually
re-appeared as GigaMax. All material quite
obvious just changed company name and logo. A few things was cleaned out.
Haven't checked since.

I would think they had financial problems and was reconstructed one way or
another.

Looks like it. While searching for info I also noticed that (apparently)
roundabout that time the CEO died at the age of
50-something. That's usually not optimal for stability either...

The DTS series got support from a new separate company, forgot the name but it
was a Wavecrest variant if I recall it correctly.

Possibly this is the one you mean: http://wavecrestdts.com/

Anyways, for those interested in jitter, the papers in the technical resources
section of gigamax are pretty good.
Possibly old hat for people around here, but it was new and informative to me...

http://gigamaxtech.com/technical/tech.html

regards,
Fred


Don't get soaked.  Take a quick peak at the forecast
with the Yahoo! Search weather shortcut.
http://tools.search.yahoo.com/shortcuts/#loc_weather

----- Original Message ---- From: Magnus Danielson <magnus@rubidium.dyndns.org> To: time-nuts@febo.com Sent: Wed, February 9, 2011 10:08:40 PM Subject: Re: [time-nuts] Calculate spectral content from a series of zero crossing time stamps? > Wavecrest just fell of the Internet for some time and then eventually >re-appeared as GigaMax. All material quite > obvious just changed company name and logo. A few things was cleaned out. >Haven't checked since. > I would think they had financial problems and was reconstructed one way or >another. Looks like it. While searching for info I also noticed that (apparently) roundabout that time the CEO died at the age of 50-something. That's usually not optimal for stability either... > The DTS series got support from a new separate company, forgot the name but it >was a Wavecrest variant if I recall it correctly. Possibly this is the one you mean: http://wavecrestdts.com/ Anyways, for those interested in jitter, the papers in the technical resources section of gigamax are pretty good. Possibly old hat for people around here, but it was new and informative to me... http://gigamaxtech.com/technical/tech.html regards, Fred ____________________________________________________________________________________ Don't get soaked. Take a quick peak at the forecast with the Yahoo! Search weather shortcut. http://tools.search.yahoo.com/shortcuts/#loc_weather
MD
Magnus Danielson
Sat, Feb 12, 2011 4:05 PM

On 11/02/11 20:26, Tijd Dingen wrote:

Wavecrest just fell of the Internet for some time and then eventually
re-appeared as GigaMax. All material quite
obvious just changed company name and logo. A few things was cleaned out.
Haven't checked since.

I would think they had financial problems and was reconstructed one way or
another.

Looks like it. While searching for info I also noticed that (apparently)
roundabout that time the CEO died at the age of
50-something. That's usually not optimal for stability either...

Ohoh, that would be sub-optimal in many ways.

The DTS series got support from a new separate company, forgot the name but it
was a Wavecrest variant if I recall it correctly.

Possibly this is the one you mean: http://wavecrestdts.com/

Yes, that's it.

Cheers,
Magnus

On 11/02/11 20:26, Tijd Dingen wrote: >> Wavecrest just fell of the Internet for some time and then eventually >> re-appeared as GigaMax. All material quite >> obvious just changed company name and logo. A few things was cleaned out. >> Haven't checked since. > >> I would think they had financial problems and was reconstructed one way or >> another. > > Looks like it. While searching for info I also noticed that (apparently) > roundabout that time the CEO died at the age of > 50-something. That's usually not optimal for stability either... Ohoh, that would be sub-optimal in many ways. >> The DTS series got support from a new separate company, forgot the name but it >> was a Wavecrest variant if I recall it correctly. > > Possibly this is the one you mean: http://wavecrestdts.com/ Yes, that's it. Cheers, Magnus